JEE Mains · Physics · STD 12 - Electromagnetic waves
- JEE Mains 2018
- Medium
- MCQ
A plane electromagnetic wave of wavelength \(\lambda \) has an intensity \(I.\) It is propagating along the positive \(Y-\) direction. The allowed expressions for the electric and magnetic fields are given by
Pick an option to check your answer.
Answer & Solution
Correct Answer
(C) \(\vec E\, = \,\sqrt {\frac{{2I}}{{{\varepsilon _0}C}}} \cos \left[ {\frac{{2\pi }}{\lambda }(y - ct)} \right]\,\hat k\,;\,\vec B\, = + \frac{1}{c}E\hat i\)
Step-by-step Solution
Detailed explanation
If \(E_0\) is magnitude of electric field then \(\frac{1}{2}\,{\varepsilon _0}{E_0}^2\, \times \,C\, = \,I\, \Rightarrow {\kern 1pt} {E_0}\, = \sqrt {\frac{{2I}}{{C{\varepsilon _0}}}} \)
\({B_0} = {\kern 1pt} \frac{{{E_0}}}{C}\,\)
Direction of \(\vec E \times \vec B\) will be along \( + \hat j.\)
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